34 citations · 83 across the 34 of their papers we have counts for
9 papers · 1 filter
Geometric quantization of non-relativistic and relativistic Hamiltonian mechanics
G. Giachetta, L. Mangiarotti, G. Sardanashvily
We show that non-relativistic and relativistic mechanical systems on a configuration space Q can be seen as the conservative Dirac constraint systems with zero Hamiltonians on diff…
Covariant geometric quantization of non-relativistic Hamiltonian mechanics
G. Giachetta, L. Mangiarotti, G. Sardanashvily
We provide geometric quantization of the vertical cotangent bundle V^*Q equipped with the canonical Poisson structure. This is a momentum phase space of non-relativistic mechanics…
Constraints in polysymplectic (covariant) Hamiltonian formalism
G. Sardanashvily
In the framework of polysymplectic Hamiltonian formalism, degenerate Lagrangian field systems are described as multi-Hamiltonian systems with Lagrangian constraints. The physically…
Cohomology of the variational complex
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Cohomology of the variational bicomplex in the calculus of variations in classical field theory are computed in the class of exteriror forms of finite jet order. This provides a so…
Cohomology of the variational bicomplex on the infinite order jet space
G. Giachetta, L. Mangiarotti, G. Sardanashvily
We obtain the cohomology of the variational bicomplex on the infinite order jet space of a smooth fiber bundle in the class of exterior forms of finite jet order. This provides a s…
Global calculus in BRST cohomology
G. Giachetta, L. Mangiarotti, G. Sardanashvily
The iterated BRST cohomology is studied by computing cohomology of the variational complex on the infinite order jet space of a smooth fibre bundle. This computation also provides…